Relaxation of a one-dimensional Mott insulator after an interaction quench

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 1, 2008, Pages

  Kollar, Marcus ^a   Eckstein, Martin ^a  

^a UNIVERSITY OF AUGSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW INTERACTIONS; GIBBS FREE ENERGY; INSULATION;

AMERICAN PHYSICAL SOCIETY (APS); EIGEN STATES; GIBBS ENSEMBLES; HUBBARD; INITIAL STATES; INTEGRABLE SYSTEMS; INTERACTION PARAMETERS; MOTT GAPS; MOTT INSULATOR (MI); MOTT-INSULATING; ONE-DIMENSIONAL; STATISTICAL DESCRIPTIONS; STEADY STATES; TIME EVOLUTIONS; UNCORRELATED;

THEOREM PROVING;

EID: 47749125031     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.013626     Document Type: Article

References (42)

1. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.885 80, 885 (2008).
2. M. Greiner, O. Mandel, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature00968 419, 51 (2002).
3. T. Kinoshita, T. Wenger, and D. S. Weiss, Nature (London) NATUAS 0028-0836 10.1038/nature04693 440, 900 (2006).
4. S. Hofferberth, I. Lesanovsky, B. Fischer, T. Schumm, and J. Schmiedmayer, Nature (London) NATUAS 0028-0836 10.1038/nature06149 449, 324 (2007).
5. E. Altman and A. Auerbach, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.250404 89, 250404 (2002).
6. A. Polkovnikov, S. Sachdev, and S. M. Girvin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.053607 66, 053607 (2002).
7. K. Sengupta, S. Powell, and S. Sachdev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.053616 69, 053616 (2004).
8. M. A. Cazalilla, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 97.156403 97, 156403 (2006).
9. M. Rigol, A. Muramatsu, and M. Olshanii, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.053616 74, 053616 (2006)
10. M. Rigol, V. Dunjko, V. Yurovsky, and M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.050405 98, 050405 (2007).
11. C. Kollath, A. M. Läuchli, and E. Altman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.180601 98, 180601 (2007).
12. S. R. Manmana, S. Wessel, R. M. Noack, and A. Muramatsu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.210405 98, 210405 (2007).
13. M. Cramer, C. M. Dawson, J. Eisert, and T. J. Osborne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.030602 100, 030602 (2008).
14. M. Eckstein and M. Kollar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.120404 100, 120404 (2008).
15. M. Rigol, V. Dunjko, and M. Olshanii, Nature (London) NATUAS 0028-0836 10.1038/nature06838 452, 854 (2008).
16. D. M. Gangardt and M. Pustilnik, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.041604 77, 041604 (R) (2008).
17. T. Barthel and U. Schollwöck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.100601 100, 100601 (2008).
18. M. Moeckel and S. Kehrein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.175702 100, 175702 (2008).
19. F. B. Anders and A. Schiller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.196801 95, 196801 (2005).
20. E. Montroll, in Lectures in Theoretical Physics, edited by, W. E. Brittin, B. W. Downs, and, J. Downs, (Interscience, New York, 1961), Vol. III, p. 221.
21. M. Rigol, V. Rousseau, R. T. Scalettar, and R. R. P. Singh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.110402 95, 110402 (2005).
22. S. P. Heims, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.1972193 33, 722 (1965).
23. F. Gebhard and A. E. Ruckenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.244 68, 244 (1992).
24. R. Jördens, N. Strohmaier, K. Günter, H. Moritz, and T. Esslinger, e-print arXiv:0804.4009.
25. M. D. Girardeau, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(69)90232- 1 30A, 442 (1969).
26. E. Barouch and M. Dresden, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.23.114 23, 114 (1969).
27. M. D. Girardeau, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(70)90090- 3 32A, 67 (1970).
28. E. Barouch and B. McCoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.3.786 3, 786 (1971).
29. R. Balian, From Microphysics to Macrophysics: Methods and Applications of Statistical Physics (Springer, Berlin, 1991), Vol. 1.
30. J. Berges, S. Borsányi, and C. Wetterich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.142002 93, 142002 (2004).
31. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 60.635 60, 635 (1988).
32. B. S. Shastry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.60. 639 60, 639 (1988).
33. F. Gebhard, The Mott Metal-Insulator Transition: Models and Methods (Springer, Berlin, 1997).
34. F. Gebhard, A. Girndt, and A. E. Ruckenstein, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.10926 49, 10926 (1994).
35. F. Gebhard and A. Girndt, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01314250 93, 455 (1994).
36. M. Dzierzawa, D. Baeriswyl, and M. Di Stasio, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.1993 51, 1993 (1995).
37. P. Calabrese and J. Cardy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.136801 96, 136801 (2006).
38. F. W. J. Olver, Asymptotics and Special Functions (AK Peters, Ltd., Wellesley, MA, 1997).
39. J. von Neumann, Z. Phys. ZEPYAA 0044-3328 10.1007/BF01339852 57, 30 (1929).
40. J. M. Deutsch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.43.2046 43, 2046 (1991).
41. D. C. Brody, D. W. Hook, and L. P. Hughston, J. Phys. A: Math. Theor. ZZZZZZ 1751-8113 40, F503 (2007).
42. M. Srednicki, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.888 50, 888 (1994).